Inequalities : a Journey into Linear Analysis.
Contains a wealth of inequalities used in linear analysis, explaining in detail how they are used.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Leiden :
Cambridge University Press,
2007.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Half-title; Title; Copyright; Contents; Introduction; 1 Measure and integral; 2 The Cauchy--Schwarz inequality; 3 The arithmetic mean-geometric mean inequality; 4 Convexity, and Jensen's inequality; 5 The Lp spaces; 6 Banach function spaces; 7 Rearrangements; 8 Maximal inequalities; 9 Complex interpolation; 10 Real interpolation; 11 The Hilbert transform, and Hilbert's inequalities; 12 Khintchine's inequality; 13 Hypercontractive and logarithmic Sobolev inequalities; 14 Hadamard's inequality; 15 Hilbert space operator inequalities; 16 Summing operators.
- 17 Approximation numbers and eigenvalues18 Grothendieck's inequality, type and cotype; References; Index of inequalities; Index.